laurenbdiaz66
Answered

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Given f(x) = 2x^3+ 9x + k, and x + 1 is a factor of f(x), then what is the value of k?

Sagot :

Nayefx

Answer:

11

Step-by-step explanation:

to understand this

you need to know about:

  • factor theorem

tips and formulas:

  • if f(c)=0 then x-c is a factor of f(x)

let's solve:

according to the question

2(-1)³+9(-1)+k=0

=>2(-1)+9(-1)+k=0

=>-2-9+k=0

=>-11+k

therefore

k=11

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